10 citations · 34 across the 37 of their papers we have counts for
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Concerning -summable Szlenk index
Ryan M. Causey
For each ordinal and each , we define the notion of --summable Szlenk index. When and , this recovers the usual notion of summable Szlenk…
Operator ideals and three-space properties of asymptotic ideal seminorms
Ryan M. Causey, Szymon Draga, Tomasz Kochanek
We introduce asymptotic analogues of the Rademacher and martingale type and cotype of Banach spaces and operators acting on them. Some classical local theory results related, for e…
Genericity and Universality for Operator Ideals
Kevin Beanland, Ryan M. Causey
A bounded linear operator between Banach spaces is universal for the complement of some operator ideal if it is a member of the complement and it factors through…
Prescribed Szlenk index of separable Banch spaces
Ryan M. Causey, Gilles Lancien
In a previous work, the first named author described the set of all values of the Szlenk indices of separable Banach spaces. We complete this result by showing that for an…
Concerning summable Szlenk index
RM Causey
We generalize the notion of summable Szlenk index from a Banach space to an arbitrary weak-compact set. We prove that a weak-compact set has summable Szlenk index if and on…
Power type -Asymptotically uniformly smooth and -asymptotically uniformly flat norms
R. M. Causey
For each ordinal and each , we offer a natural, ismorphic characterization of those spaces and operators which admit an equivalent --asymptotically uniformly…